Theorems · Theorem · commutative algebra
WittVector.mul_charP_coeff_zero
∀ {p : ℕ} {R : Type u_1} [hp : Fact (Nat.Prime p)] [inst : CommRing R] [CharP R p] (x : WittVector p R),
(x * ↑p).coeff 0 = 0- Defined in
- Mathlib.RingTheory.WittVector.Identities
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 144 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- CommRingstatement and proof · cited by 17,173
- Factstatement and proof · cited by 2,726
- Nat.Primestatement and proof · cited by 2,059
- CharPstatement and proof · cited by 478
- zero_powproof · cited by 361
- Fact.outproof · cited by 328
- WittVectorstatement and proof · cited by 227
- WittVector.coeffstatement and proof · cited by 138
- Nat.Prime.ne_zeroproof · cited by 109
- WittVector.verschiebungproof · cited by 32
- WittVector.coeff_frobenius_charPproof · cited by 9
Cited by3
Results whose statement or proof uses this declaration.
- WittVector.verschiebung_frobeniusproof · cited by 4
- WittVector.mul_pow_charP_coeff_zeroproof · cited by 2
- WittVector.mem_span_p_iff_coeff_zero_eq_zeroproof · cited by 0